TY - JOUR ID - 1900 TI - Analysis of an M/G/1 Queue with Multiple Vacations, N-policy, Unreliable Service Station and Repair Facility Failures JO - International Journal of Supply and Operations Management JA - IJSOM LA - en SN - 23831359 AU - Wu, Wenqing AU - Tang, Yinghui AU - Yu, Miaomiao AD - School of Mathematics & Software Science, Sichuan Normal University, Chengdu, Sichuan, 610068, China AD - School of Science, Sichuan University of Science and Engineering, Zigong, Sichuan, 643000, China Y1 - 2014 PY - 2014 VL - 1 IS - 1 SP - 1 EP - 19 KW - M/G/1 repairable queue KW - Multiple vacations KW - Min (N, V)-policy KW - Reliability measure KW - Cost function DO - 10.22034/2014.1.01 N2 - This paper studies an M/G/1 repairable queueing system with multiple vacations and N-policy, in which the service station is subject to occasional random breakdowns. When the service station breaks down, it is repaired by a repair facility. Moreover, the repair facility may fail during the repair period of the service station. The failed repair facility resumes repair after completion of its replacement. Under these assumptions, applying a simple method, the probability that the service station is broken, the rate of occurrence of breakdowns of the service station, the probability that the repair facility is being replaced and the rate of occurrence of failures of the repair facility along with other performance measures are obtained. Following the construction of the long-run expected cost function per unit time, the direct search method is implemented for determining the optimum threshold N* that minimises the cost function. UR - http://www.ijsom.com/article_1900.html L1 - http://www.ijsom.com/article_1900_4881c207b3f40995f3c0c24db851ca30.pdf ER -